3287961 has 24 divisors (see below), whose sum is σ = 4961736. Its totient is φ = 2096640.

The previous prime is 3287959. The next prime is 3287989. The reversal of 3287961 is 1697823.

3287961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47961 + 3240000 = 219^2 + 1800^2 .

It is not a de Polignac number, because 3287961 - 2¹ = 3287959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3287941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29041 + ... + 29153.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 2^3287961 is an apocalyptic number.

It is an amenable number.

3287961 is a deficient number, since it is larger than the sum of its proper divisors (1673775).

3287961 is a wasteful number, since it uses less digits than its factorization.

3287961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3287961 is about 1813.2735590638. The cubic root of 3287961 is about 148.6992869047.

The spelling of 3287961 in words is "three million, two hundred eighty-seven thousand, nine hundred sixty-one".